Chuck Sox Makes Wooden Boxes To Ship Motorcycles
Chuck Sox Makes Wooden Boxes In Which To Shipmotorcycles Chuck And Hi
Chuck Sox makes wooden boxes in which to ship motorcycles. Chuck and his three employees invest a total of 40 hours per day making the 120 boxes. a) What is their productivity? b) Chuck and his employees have discussed redesigning the process to improve efficiency. If they can increase the rate to 125 per day, what will be their new productivity? c) What will be their unit increase in productivity per hour? d) What will be their percentage change in productivity?
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Chuck Sox Makes Wooden Boxes In Which To Shipmotorcycles Chuck And Hi
Chuck Sox's manufacturing operation focuses on producing wooden boxes designed to ship motorcycles efficiently. The company's productivity measurement, current and potential improvements, and the associated changes can be analyzed through the given data. With a team consisting of Chuck and three employees, totaling four workers, they work collectively for 40 hours daily to produce 120 wooden boxes. The goal of this analysis is to compute current productivity, estimate the new productivity after process improvements, determine the unit increase in productivity per hour, and evaluate the percentage change in productivity resulting from process redesign.
Current Productivity Analysis
To calculate productivity, we first consider the total output (number of boxes produced) relative to the total hours invested. The total hours worked per day by all workers combined is 40 hours. Given that four workers contribute to this total, the average hours per worker per day amount to 10 hours. The current daily production is 120 boxes. Therefore, the overall productivity can be expressed as the number of units produced per total hours invested:
Current Productivity = Total Output / Total Hours
Total Output = 120 boxes
Total Hours = 40 hours
Current Productivity = 120 boxes / 40 hours = 3 boxes per hour
Projected Productivity After Process Redesign
Suppose Chuck and his team redesign their production process, enabling them to produce 125 boxes per day while maintaining the same total hours of work (40 hours). The new productivity can be calculated similarly:
New Productivity = 125 boxes / 40 hours = 3.125 boxes per hour
Unit Increase in Productivity per Hour
The increase in productivity per hour resulting from the redesign is the difference between the new and current productivity levels:
Unit increase per hour = 3.125 - 3 = 0.125 boxes/hour
Percentage Change in Productivity
The percentage change indicates the relative improvement afforded by the redesign:
Percentage change = (Increase / Original productivity) × 100
Percentage change = (0.125 / 3) × 100 ≈ 4.17%
Summary
In conclusion, Chuck Sox's current productivity is three boxes per hour. Following process improvements, this figure rises to approximately 3.125 boxes per hour, reflecting an absolute increase of 0.125 boxes per hour. Correspondingly, the percentage increase in productivity is about 4.17%, highlighting a modest yet meaningful enhancement in efficiency.
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